5041/5040: Difference between revisions

5041/5040 represents the difference between [[72/71]] and [[71/70]]; therefore tempering this comma out splits their product, [[36/35]], in two; as 36/35 is the ratio of [[6/5]] to [[7/6]], tempering out this comma also splits [[7/5]] in two, by equating [[84/71]] to [[71/60]]. It is also the answer to the Brocard's problem question of n! + 1 = m^2, to which there's only three known so far - [[25/24]], [[121/120]], and this.